10011114456 has 128 divisors (see below), whose sum is σ = 30083788800. Its totient is φ = 2715747840.

The previous prime is 10011114437. The next prime is 10011114493. The reversal of 10011114456 is 65441111001.

It is a super-2 number, since 2×10011114456² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257890 + ... + 294158.

It is an arithmetic number, because the mean of its divisors is an integer number (235029600).

Almost surely, 2^10011114456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011114456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15041894400).

10011114456 is an abundant number, since it is smaller than the sum of its proper divisors (20072674344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10011114456 is a wasteful number, since it uses less digits than its factorization.

10011114456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36369 (or 36365 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 10011114456 its reverse (65441111001), we get a palindrome (75452225457).

The spelling of 10011114456 in words is "ten billion, eleven million, one hundred fourteen thousand, four hundred fifty-six".